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...is a map which has formal algebraic properties generalising those of the [[derivative]]. * The [[formal derivative]] is a derivation on the [[polynomial ring]] ''R''[''X''] with constants ''

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..., or other test that verifies the concentration of the drug, or its active derivative, in the body fluids of the recipient.

In [[pharmacology]], '''tiotropium''' is a derivative of the quaternary amine [[scopolamine]] and is classified as a [[parasympat

{{Image|Lenz law.png|right|250px|Illustration of Lenz' law. The time derivative <math>\scriptstyle \dot\mathbf{{B}}</math> describes an increase of '''B''' That is, the time derivative of '''B'''(''t'') induces a current ''i''_ind in a conducting loo

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...are mathematical objects that allow the extension of the concept of the [[derivative]] to a much larger class of (not necessarily continuous) functions. Many c ...stant everywhere, but makes the unit jump at ''x'' = 0. Obviously, if the "derivative" is understood in the classical way as the rate of change, it is ''infinite

...ll eventually need to be replaced. They will almost certainly go into some derivative of a commercial airliner, as has the [[P-8 Poseidon]], and the [[Airborne W

...ehicle for firing [[BGM-71 TOW]] heavy antitank missiles. The vehicle is a derivative of the [[M113 armored personnel carrier]], and has a launcher holding four

===Derivative=== The [[derivative]] of a power function can be derived from the properties of [[exp]] and [[l

...e Wahhabi position. Al-Qaeda's theological background also is not a strict derivative of Wahhabism, but more of the work of Sayyid Qutb, whom many Wahhabi expert

...8 mobile gun system‎]]. The [[M729 (combat engineering vehicle)]] is a M60 derivative.

In [[medicine]], '''chlordiazepoxide ''' is an "anxiolytic [[benzodiazepine]] derivative with [[anticonvulsant]], [[sedative]], and amnesic properties. It has also

...the most active tetracycline [[antibiotic]], is a long-acting tetracycline derivative, like [[doxycycline]].

...rt Louis Stevenson Website]. Extensive information including collection of derivative works. Maintained by editor of the [http://www.english.stir.ac.uk/centres/s

...ts target, with [[infrared]] terminal guidance for the final approach. The derivative fielded in 2003 uses semi-active laser homing directed by a [[laser designa

...roads. There is a desire to replace the aging series, either with a HEMTT derivative or, especially in the Marine Corps, the Oshkosh Medium Tactical Vehicle Rep

...s the [[resultant (algebra)|resultant]] of the polynomial and its [[formal derivative]].

|properties=adamantane derivative

...ppeared, and eventually the dedicated [[AH-1 Cobra]] [[attack helicopter]] derivative.

...is C<small>10</small>H<small>15</small>N. Methamphetamine is an [[amine]] derivative of [[amphetamine]].

...hat assigns to each point x the derivative of ''f'' at ''x'' is called the derivative of ''f'', and is written <math>f'(x)</math> or <math>df/dx</math>. Now, doe ...+ iv</math>), this requirement can be expressed in terms of the [[partial derivative]]s of ''u'' and ''v'' with respect to ''x'' and ''y'':

is equal to its [[derivative]], i.e. <math> f^'(x) = f(x) \,</math>. More generally, for any differentia for K constant, is equal to its [[derivative]], i.e. <math> f^'(x) = f(x) \,</math>. For any differentiable function <ma

A [[differentiable function]] on the [[real number]]s is monotonic when its [[derivative]] is non-zero: this is a consequence of the [[Mean Value Theorem]].

The [[chain rule]] in [[calculus]] describes the [[derivative]] of the composite of differentiable functions.

It is a derivative of the [[FASTLANE]] KG-75 for the earlier high-speed [[Asynchronous Transfe

...the brand names Celospor®, Celtol® and Cristacef®. It a 7-cyanacetylamino derivative of cephalosporic acid, and is also called by the synonyms cefacetrilo, cefa

...ex-differentiable at every point. This is a much stronger condition than [[derivative|real differentiability]] and implies that the function is [[smooth function This concept of differentiability shares several properties with [[derivative|real differentiability]]:

...rval (ε,''a'') with ε=2''a''/(''a''+1) which can be checked estimating the derivative of ''f'' on the interval. For the derivative we have

.../rfc5246.txt}}</ref>, by the [[Internet Engineering Task Force]]. TLS is a derivative of SSL.

...llin''', is a broad-spectrum beta-[[lactam]]-based [[antibiotic]] and is a derivative of [[penicillin]]. It is used for infections of the urinary tract. The mo

...process of calculating integrals) can be seen as an inverse operation to [[derivative|differentiation]], and so integrals are of great use in the many contexts w ...ivative]], which is the rate of change of a function at a given point (the derivative of a function <math>f</math> is denoted by <math>f'\,</math>). The rate of

...ls, with variable effects on [[cholesterol]]. Gemfibrozil is a [[fibrate]] derivative similar to [[bezafibrate]], [[clofibrate]], and [[procetofen]] (fenofibrate

The Mark 38 Bushmaster II is a 30mm derivative of the M242, used on [[United States Navy]] ships and Norwegian land combat

...r through reaction with [[phosphate]] to produce glucose-1-phosphate. This derivative of glucose is then converted to [[glucose 6-phosphate]], a key intermediate

...<ref>{{cite journal|title=Base-pairing properties of the oxidized cytosine derivative, 5-hydroxy uracil|journal=Biophys. Biochem. Res. Commun.|volume=366|pages=7

...sate, chlorphenisate, clofibate and many other names, is a [[fibric acid]] derivative used to treat [[hyperlipoproteinemia]] type III and severe [[hypertriglycer

'''Midodrine''', or midodrina or midodrinum, is an ethanolamine derivative that is an alpha-1 [[adrenergic receptor]] agonist used as a vasoconstricto

This turnover rule is used as the definition of the derivative of the delta function, ...'x'' = 0. Using ''m'' times the turnover rule, it follows that the ''m''th derivative of the delta function is defined by

...h> in terms of the function value <math>f(x_k)</math> and the function's [[derivative]] at the same point, <math>f'(x_k)\,\!</math>. Put together, the relation b If the second derivative is bounded and the first derivative does not approach 0, the error at step <math>k+1</math> is hence roughly pr

...Air Power Australia}}</ref> It has also been known as the '''KS-172''', a derivative of the Vympel R-37 (missile). With and without a booster stage, a range of

{{r|Derivative (finance)|Derivative}}

The field '''C'''('''r''') is related to the time derivative of the [[vector potential]] '''A''' if we require the [[Coulomb gauge]]. W Clearly, when the time derivative of '''A''' vanishes, the field '''E''' is minus the gradient of the electri

...thylglutaryl-coenzyme A reductase inhibitor]] (statin). It is a methylated derivative of [[lovastatin]] used treat [[hypercholesterolemia]], to prevent [[myocard

..., and to improve survival after heart a attack. It is a synthetic peptide derivative, (S)-1-[N2-(1-carboxy-3-phenylpropyl)-L-[[lysine|lysyl]]]-L-[[proline]] dih

* [[Promethazine]] is a "phenothiazine derivative with histamine [[Biogenic amine receptor|H1]]-blocking, antimuscarinic, and

...t RSV. Its structural similarity with RNA molecules (its contains a ribose derivative) allows it to inhibit the enzyme RNA-dependent RNA polymerase. The triphos

...l therapy]] (HAART) for the treatment [[HIV]]-1. It is a synthetic purine derivative similar to [[zidovudine]], [[zalcitabine]], and [[stavudine]]. Efavirenz a

A land-based derivative of the [[United States Navy]]'s [[E-3 Skywarrior]], the [[United States Air

...when juxtaposing a Britcom such as [[Steptoe and Son]], with its American derivative, [[Sanford and Son]], where outrageous situations, slapstick and broadly co

'''Doxycycline''', is "a synthetic tetracycline derivative with similar antimicrobial activity. Animal studies suggest that it may cau

...lly, it is one of the few naturally occurring [[sulfonic acid]]s and it a derivative of [[cysteine]], another amino acid important in liver detoxification.

An early version was the AVR-2|AN/AVR-2 and its vehicle derivative, the VVR-1|AN/VVR-1. The General Accounting Office found these performed po

the [[prime]] denotes the derivative.

*Retinal, a b-carotene derivative that is the chromophore of rhodopsin, acts not only as a sensory pigment, b

i.e., the solution has to be unique, and (being free of jumps) it and its derivative have to be continuous,

...ies sold. Goebbels called it an "ideological belch". Hitler said it was a "derivative pastiche, illogical rubbish."<ref name=Neave/></blockquote>

...the equation, the order ''n'' of the equation is the order of the highest derivative of ''u'' to appear, and ''F'' is a given function:

...e property, a second-order response property is a second derivative, third derivative gives a third-order response property, and so on), ...referred to as zeroth-order in V, so that the observed dipole is the first derivative of the first-order [[perturbation theory|perturbation energy]],

...name for their state; the US Government did not adopt the name, which is a derivative of the Burmese short-form name Myanma Naingngandaw". Thus the actual name u

We see that the second derivative of ''x'' is proportional to &minus;''x''. There are several functions known The speed of the mass is the first derivative of position with respect to time,

...t CEV. The [[M729 combat engineering vehicle]] was well proven, but was a derivative of the [[M60 Patton tank]] and too slow to keep up with other armored vehic

3688-53-7, is a synthetic [[nitrofuran]] derivative which was widely used as a [[food preservative]] in [[Japan]] since at leas

Applying this to the logarithmic derivative of the [[Riemann zeta function]], where the coefficints in the Dirichlet se

:''A boolean function <math>f</math> is bent if and only if every derivative <math>D_uf(x)</math> is balanced for <math>u\neq0</math>.

There have been numerous adaptations, derivative works and [[parody|parodies]] of ''A Christmas Carol,'' perhaps because its

...o called '''1-N-Ethylsisomicin''', is an [[aminoglycoside]] [[antibiotic]] derivative of [[sisomycin]], an aminoglycoside antibiotic with action similar to [[gen

EFT is a derivative of a method called [[thought field therapy]] (TFT) developed by Roger Calla

The vehicle proper, a M993 Carrier Vehicle, is an extended-length derivative of the [[M2 Bradley armored fighting vehicle]]. has a cab for the crew, pro

...ntibacterial activities of a novel glycylcycline, the 9-t-butylglycylamido derivative of minocycline (GAR-936)

|properties=fatty acid derivative

...Fractal-Trace.png|right|350px|[[Data sharing]] provides fertile ground for derivative work: This image is based on the [[:Image:Panton-Principles-Drafters-Origin

...open region containing <math>\Omega\,</math> and have continuous [[partial derivative|partial derivatives]] in that region. Then Green's Theorem states that

...OF HUNTER-GATHERER FIGHTING Azar Gat Part II: Proximate, Subordinate, and Derivative Causes"]</ref> I.e., being captured <ref>"The percentage of females in the ...OF HUNTER-GATHERER FIGHTING Azar Gat Part II: Proximate, Subordinate, and Derivative Causes"]</ref> When selection is intense and persistent, adaptive traits (

...pressible, i.e., the mass density &rho; is constant, meaning that its time derivative is zero, the flux satisfies

...ily tree way of looking at styles. Any Japanese style of Karate that is a derivative of an Okinawan style should be listed as such, including how this new creat

...o called '''benzopenicillin''' or '''benzylpenicillin''', a [[penicillin]] derivative, is a beta-[[lactam]]-based [[antibiotic]] drug used to treat severe infect

...nion is often highly negative - the work is often juvenile, amateurish and derivative - and the sheer awfulness of some fan fiction is often a source of humor fo

...momentum is constant if its time derivative is zero, so let's compute this derivative:

==Derivative titles== ...nstrably indifferent to their acquisition of said reputation: The series's derivative titles increase in number yearly and include ''Dr. Mario'', ''Super Mario

...is in the [[Sobolev space]] <math>H_1^1(V)^n</math>, meaning that its weak derivative is ''L''₁-integrable. Then the conclusion of the divergence theo

...potential.</ref> (EMF) <math>\scriptstyle \mathcal{E} </math> to the time derivative of the magnetic flux &Phi;. The law reads ...s solely due to the time-dependence of the growth of the surface. The time derivative of the magnetic flux in the figure is positive and equal to

...conduction current density '''i''' and [[displacement current]] (the time derivative of the electric displacement '''D''').

...n at time <i>t</i> is given by <b>x</b>(<i>t</i>) can be computed as the [[derivative]]

Taking the first derivative of the Planck's law wavelength equation leads to the wavelength with maximu

...red or projected toward a limiting concept which comprehends all possible, derivative or lesser versions of that ultimate idea. By finding relevant similarity an

...nd derivative with respect to position ''x'' is proportional to the second derivative with respect to time ''t''. Hence, the wave equation has the general form ...ion is of second order, a second initial condition, for instance the time derivative of ''f'' at ''t'' = 0, is required for the general solution of the wave equ

...(siheyuan) which are their principal public feature. The term hutong is a derivative of hottog the Mongolian term for [[well, water|well]], a reference to the w

...of '''L''' in spherical polar coordinates that L&sup2; does not contain a derivative with respect to ''r''. Hence upon division of L&sup2; by ''r''&sup2; the po Upon writing ''u'' = cos &theta; the ''m''th derivative of the Legendre polynomial can be written as the following expansion in ''u

...his judgment. The case concerned two works about President Washington, one derivative of the other. The first was a major 12 volume work by [[Jared Sparks]] - be

...e same time as [[Newton]] (in the 1670s). Leibniz devised a notation for [[derivative]]s of functions which is more convenient and more widely applied than Newto

The most important derivative of the Piranha is probaby the [[United States Army]]'s [[Stryker]] vehicles

Hence the time derivative of the angular momentum is equal to the [[torque]] '''N''', It follows that the angular momentum is conserved&mdash;i.e., its time derivative is zero&mdash;if the applied torque '''N''' is zero, which means that eithe

...ven a function it may be possible to form a power series from successive [[derivative]]s of the function: this [[Taylor series]] is then a power series in its ow

..., or '''aminobenzylpenicillin''', is a broad spectrum [[antibiotic]] and a derivative of [[penicillin]]. It is used to treat infections of [[E. coli]], [[P. m

The leftmost derivative in the sum is non-zero only when ''r'' &le; 2''m'' (remembering that ''m'' &le; ''l''). The other derivative is non-zero only when ''k'' + ''l'' + 2''m'' &minus; ''r'' &le; 2''k'', th

...math>g_1</math> or <math>g_2</math>) may be defined as the [[Radon-Nikodym derivative]] Both approaches (via the Hilbert space, and via the Radon-Nikodym derivative) treat <math>g</math> as an equivalence class of functions; two functions <

...on Avenger or Linebacker vehicles, as well as the ground-launched SLAMRAAM derivative of the AIM-120 Advanced Medium Range Air-to-Air Missile. The SLAMRAAM uses